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Finding the Fourth Proportional to 1,624.07, 2,436.12 and 528.54

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Solution

The fourth proportional to 1,624.07, 2,436.12 and 528.54 is: 792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.07 : 2,436.12 = 528.54 : x
  2. Step 2: Convert to fraction form
    1,624.07/2,436.12 = 528.54/x
  3. Step 3: Cross multiply
    1,624.07x = 2,436.12 × 528.54
  4. Step 4: Simplify right side
    1,624.07x = 1,287,586.86
  5. Step 5: Solve for x
    x = 1,287,586.86/1,624.07
  6. Step 6: Final answer
    x = 792.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.